Robust Self Testing of the Singlet

Abstract

In this paper, we introduce a general framework to study the concept of robust self testing which can be used to self test EPR pairs and local measurement operators. The result is based only on probabilities obtained from experiment, with tolerance to experimental errors. In particular, we show that if results of experiment come approach the Cirel'son bound, or approximates the Mayers-Yao type correlation, then the experiment must contain an approximate EPR pair. More specifically, there exist local bases in which the physical state is close to an EPR pair, possibly all encoded in a larger environment or ancilla. Moreover, in theses bases the measurements are close to the qubit operators used to achieve the Cirel'son bound or the Mayers-Yao results.

7 pages, 1 figure

References in corpus (5)

• Device-independent security of quantum cryptography against collective attacks
• Device-independent quantum key distribution secure against collective attacks
• Device-independent certification of entangled measurements
• Better Bell Inequality Violation by Collective Measurements
• Quantum Information Processing with Adversarial Devices

Cited by in corpus (3)

• Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing
• Device-Independent Randomness Generation in the Presence of Weak Cross-Talk
• Classical command of quantum systems via rigidity of CHSH games